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nikitadnepr [17]

2 years ago

10

Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the pr

obability that both are red.

1 answer:

liberstina [14]2 years ago

3 0

There are 49 total marbles, the chance of you getting a red is 17/49, and if you don’t replace the marble and pull out another one, the probability of that being red is 17/49*16/48=17/147. That’s approximately a .12% chance.
16/48=1/3

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Find the value of X that will make L||B

QveST [7]

Answer:

x = 7

Step-by-step explanation:

These 2 angles are alternate exterior angles which means these angles are equal to each other. The equation is:

2x - 3 = x + 4

2x - x = 4 + 3

x = 7

6 0

2 years ago

Consider these four data sets. Set A: {32, 12, 24, 46, 18, 22, 14} Set B: {4, 12, 11, 14, 11, 5, 12, 13, 18, 14} Set C: {5, 4, 9

drek231 [11]

SET A

The elements of this set are,

$32,12,24,46,18,22,24$

We arrange this data set in ascending order to get,

$12,18,22,24,24,32,46$

The median for this data set is

$median = 24$

The mean for this data set can be calculated using the formula,

$\bar X = \frac{ \sum x}{n}$

This implies that,

$\bar X = \frac{ 12 + 18 + 22 + 24 + 24 + 32 + 46}{7}$

$\bar X = \frac{154}{7} = 22$
This data set is negatively skewed because the mean is less than the median.

SET B

This set contains the elements,

$4, 12, 11, 14, 11, 5, 12, 13, 18, 14$

We arrange the elements of this set in ascending order to obtain,

$4,5,11,11,12,12,13,14,14,18$

The median for this data set is,

$median = \frac{12 + 12}{2} = 12$

The mean is

$\bar X = \frac{4 + 5 + 11 + 11 + 12 + 12 + 13 + 14 + 14 + 18}{10}$

.
$\bar X = \frac{114}{10} = 11.4$

This data set is negatively skewed because the mean I'd less than the median.

SET C

The set C has elements,
$5, 4, 9, 12, 14, 26, 22, 18$

We arrange this set in ascending order to get,

$4,5,9,12,14,18,22,26$

The median of this data set is

$median = \frac{12 + 14}{2} = 13$

The mean of this data set is
$\bar X = \frac{4 + 5 + 9 + 12 + 14 + 18 + 22 + 26}{8}$

$\bar X = \frac{110}{8} = 13.75$

This is a positively skewed distribution because the mean is greater than the median

SET D

The elements of this set are

$1, 1, 1, 2, 2, 3, 3, 4, 5, 6$

The median of this data set is

$median = \frac{2 + 3}{2} = 2.5$

The mean is
$\bar X= \frac{1 + 1 + 1 + 2 + 2 + 3 + 3 + 4+ 5 + 6}{10}$

$\bar X= \frac{28}{10} = 2.8$

This data set is positively skewed because the mean is greater than the median.

4 0

3 years ago

Read 2 more answers

What is the gradient of the graph shown?

sladkih [1.3K]

Answer:

gradient = $\frac{1}{3}$

Step-by-step explanation:

calculate the gradient m using the gradient formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

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3 0

1 year ago

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drek231 [11]

Step-by-step explanation:

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so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

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so, the last option is correct.

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2 years ago

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Zinaida [17]

Answer:

No

Step-by-step explanation:

here's a little trick, add a zero to make both numbers the same.

it's doesn't change the value.

so .27 and .3 become .27 and .30

and .30 is greater

7 0

3 years ago